Fill in the blank with the correct answer.

A machine fills 10 bottles of ketchup in 20 mins, then it can fill [[1]] in 140 mins. 

It's a case of direct proportion.

And, In the case of direct proportions, both quantities change in the same direction. 

So, $\frac{{\mathrm{x}}_1}{{\mathrm{y}}_1}=\frac{{\mathrm{x}}_2}{{\mathrm{y}}_2}$

=> $\frac{10}{20}=\frac{{\mathrm{x}}_2}{140}$

=> ${\mathrm{x}}_2=\frac{1400}{20}$

=> ${\mathrm{x}}_2=70$

Hence, the machine can fill 70 bottles in 140 minutes.